Elliptic curve data - 338800.s1

Formats: - HTML - YAML - JSON - 2024-05-18T19:27:51.358195

• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  abc_quality	double precision
  absD	numeric
  adelic_genus	integer
  adelic_index	integer
  adelic_level	bigint
  ainvs	numeric[]
  analytic_rank	smallint
  bad_primes	integer[]
  class_deg	smallint
  class_size	smallint
  cm	smallint
  conductor	integer
  degree	bigint
  elladic_images	text[]
  faltings_height	numeric
  faltings_index	smallint
  faltings_ratio	smallint
  iso_nlabel	smallint
  isogeny_degrees	smallint[]
  jinv	numeric[]
  lmfdb_iso	text
  lmfdb_label	text
  lmfdb_number	smallint
  manin_constant	smallint
  min_quad_twist_ainvs	numeric[]
  min_quad_twist_disc	smallint
  modell_images	text[]
  modm_images	text[]
  nonmax_primes	smallint[]
  nonmax_rad	integer
  num_bad_primes	smallint
  num_int_pts	integer
  optimality	smallint
  potential_good_reduction	boolean
  rank	smallint
  regulator	numeric
  semistable	boolean
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '338800s', 'Clabel': '338800s1', 'Cnumber': 1, 'abc_quality': 0.9968101059964805, 'absD': 12782924000000, 'adelic_genus': 0, 'adelic_index': 8, 'adelic_level': 44, 'ainvs': [0, 0, 0, -45100, -3690500], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 11], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 338800, 'degree': 2156544, 'elladic_images': ['4.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4236017067759870723950289808', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 18, 'isogeny_degrees': [1], 'jinv': [-1905527808, 2401], 'lmfdb_iso': '338800.s', 'lmfdb_label': '338800.s1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -1804, 29524], 'min_quad_twist_disc': -20, 'modell_images': [], 'modm_images': ['4.4.0.a.1', '22.2.0.a.1', '44.8.0.a.1'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.44268918801395262386565799461', 'prec': 107}, 'szpiro_ratio': 3.437141490197382, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• ec_classdata •

  Column	Type
  anlist	smallint[]
  aplist	smallint[]
  class_deg	smallint
  class_size	smallint
  conductor	integer
  isogeny_matrix	smallint[]
  lmfdb_iso	text
  trace_hash	bigint

  
  {'anlist': [0, 1, 0, -3, 0, 0, 0, 1, 0, 6, 0, 0, 0, 4, 0, 0, 0, 4, 0, 8, 0], 'aplist': [0, -3, 0, 1, 0, 4, 4, 8, -3, -4, -5, -11, 0, -4, -4, 10, -3, -12, -5, 9, 16, 8, 12, -13, 3], 'class_deg': 1, 'class_size': 1, 'conductor': 338800, 'isogeny_matrix': [[1]], 'lmfdb_iso': '338800.s', 'trace_hash': 1449254626166541151}
• ec_mwbsd •

  Column	Type
  area	numeric
  conductor	integer
  gens	numeric[]
  heights	numeric[]
  lmfdb_label	text
  ngens	smallint
  rank_bounds	smallint[]
  real_period	numeric
  sha_an	numeric
  special_value	numeric
  tamagawa_product	integer
  torsion_generators	numeric[]
  xcoord_integral_points	numeric[]

  
  {'area': {'__RealLiteral__': 0, 'data': '0.058006313926901781848309474617', 'prec': 107}, 'conductor': 338800, 'gens': [], 'heights': [], 'lmfdb_label': '338800.s1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.16379197383261774489102721802', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.3103357906609419591282177441220642136', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 338800.s1 does not appear in ec_iwasawa
• ec_torsion_growth •

  Column	Type
  degree	smallint
  field	numeric[]
  lmfdb_label	text
  torsion	smallint[]

  
  
  • id: 14175664
    {'degree': 3, 'field': [1, 1, -1, 1], 'lmfdb_label': '338800.s1', 'torsion': [2]}
  • id: 14175665
    {'degree': 6, 'field': [1, -1, 2, -3, 2, -1, 1], 'lmfdb_label': '338800.s1', 'torsion': [2, 2]}
  • id: 14175666
    {'degree': 8, 'field': [-5671875, 0, 363000, 0, 8250, 0, 0, 0, 1], 'lmfdb_label': '338800.s1', 'torsion': [3]}
  • id: 14175667
    {'degree': 12, 'field': [-232876, 258696, -133856, 11928, 25832, -10756, 1652, 392, -402, 56, 4, -2, 1], 'lmfdb_label': '338800.s1', 'torsion': [4]}
• ec_localdata •

  Column	Type
  conductor	integer
  conductor_valuation	smallint
  discriminant_valuation	smallint
  j_denominator_valuation	smallint
  kodaira_symbol	smallint
  lmfdb_label	text
  prime	integer
  reduction_type	smallint
  root_number	smallint
  tamagawa_number	smallint

  
  
  • id: 8384062
    {'conductor': 338800, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '338800.s1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 8384063
    {'conductor': 338800, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '338800.s1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 8384064
    {'conductor': 338800, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '338800.s1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 8384065
    {'conductor': 338800, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '338800.s1', 'prime': 11, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 3782137
    {'adelic_gens': [[8, 3, 21, 4], [2, 1, 5, 3], [41, 4, 40, 5], [4, 25, 5, 37], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '44.8.0.?', 'conductor': 338800, 'lmfdb_label': '338800.s1', 'prime': 0}
  • id: 1176335
    {'conductor': 338800, 'elladic_image': '4.4.0.1', 'lmfdb_label': '338800.s1', 'modell_image': '2G', 'prime': 2}
• lmfdb_iso 338800.s does not appear in ec_padic